The goal of this review would be reached if a reasonably convincing case for an unorthodox scenario has
been made. Future work will have to focus on four areas:
- Consolidating the existence of a non-Gaussian fixed point and that of an asymptotically safe
coupling flow. This may be done in various formalisms, field variables, and approximations.
- Clarifying the microstructure of the geometries, identification of the antiscreening degrees of
freedom, and the role of the ultraviolet cutoff.
- Clarifying the physically adequate notion of unitarity and its interplay with Areas 1 and 2.
- Characterization of generic observables and working out sound consequences for the